Conditionals hold an important place in logical questioning about itself. In analysing the numerous theories about material conditional, logic attempts to grasp the logical implication as it appears intuitively to us, which is a necessary entailment between an antecedent and a consequent. But at the same time arises the question of the possibility of offering a treatment for ordinary conditionals using the material conditional of logic, or the reforms that have been proposed for it. However, the conditionals, which we will approach here in their paradigmatic form of SI-clauses, do not always express a logical entailment and these are two different questions. That is the reason why we wanted to leave aside the philosophico-logical tradition to propose an analysis of the meaning of SI in a clearly semantic prospective. Within a large polysemy, a significant unity comes out of this approach, which allows us to take a fresh look at the debate in psychology of reasoning about logical connectives.